Pith Number

pith:AUMGQOFF

pith:2011:AUMGQOFFZQST5REKMZIQ4VBFN7

not attested not anchored not stored refs pending

Transition probabilities for general birth-death processes with applications in ecology, genetics, and evolution

Forrest W. Crawford, Marc A. Suchard

arxiv:1111.6644 v1 · 2011-11-28 · q-bio.PE · q-bio.QM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUMGQOFFZQST5REKMZIQ4VBFN7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:43:40.402803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05186838a5cc253ec48a66510e54256ff39e3d6bd6847d21b3d8dda1b0af3725

Aliases

arxiv: 1111.6644 · arxiv_version: 1111.6644v1 · doi: 10.48550/arxiv.1111.6644 · pith_short_12: AUMGQOFFZQST · pith_short_16: AUMGQOFFZQST5REK · pith_short_8: AUMGQOFF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AUMGQOFFZQST5REKMZIQ4VBFN7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 05186838a5cc253ec48a66510e54256ff39e3d6bd6847d21b3d8dda1b0af3725

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e58e61441fea6884f74321a5c08a447c2be14b4523a07e5ab572d226ca21e3",
    "cross_cats_sorted": [
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2011-11-28T22:43:05Z",
    "title_canon_sha256": "e4978a461558971fce2a30dcad2facb1da5a359c7ed04035f1ef17864a0568a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6644",
    "kind": "arxiv",
    "version": 1
  }
}